Institution
Bauhaus University, Weimar
Education•Weimar, Thüringen, Germany•
About: Bauhaus University, Weimar is a education organization based out in Weimar, Thüringen, Germany. It is known for research contribution in the topics: Finite element method & Isogeometric analysis. The organization has 1421 authors who have published 2998 publications receiving 104454 citations. The organization is also known as: Bauhaus-Universität Weimar & Hochschule für Architektur und Bauwesen.
Topics: Finite element method, Isogeometric analysis, Graphene, Fracture mechanics, Thermal conductivity
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the authors presented a computational reliable optimization approach for internal cooling channels in CMC under thermal and mechanical loadings using the Reliability Based Design Optimization (RBDO) approach.
Abstract: This paper presents a computational reliable optimization approach for internal cooling channels in Ceramic Matrix Composite (CMC) under thermal and mechanical loadings. The algorithm finds the optimal cooling capacity of all channels (which directly minimizes the amount of coolant needed). In the first step, available uncertainties in the constituent material properties, the applied mechanical load, the heat flux and the heat convection coefficient are considered. Using the Reliability Based Design Optimization (RBDO) approach, the probabilistic constraints ensure the failure due to excessive temperature and deflection will not happen. The deterministic constraints restrict the capacity of any arbitrary cooling channel between two extreme limits. A “series system” reliability concept is adopted as a union of mechanical and thermal failure subsets. Having the results of the first step for CMC with uniformly distributed carbon (C-) fibers, the algorithm presents the optimal layout for distribution of the C-fibers inside the ceramic matrix in order to enhance the target reliability of the component. A sequential approach and B-spline finite elements have overcome the cumbersome computational burden. Numerical results demonstrate that if the mechanical loading dominates the thermal loading, C-fibers distribution can play a considerable role towards increasing the reliability of the design.
22 citations
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TL;DR: In this article, an alternative Kolosov-Muskhelishvili formula for the displacement field was proposed by means of a (paravector-valued) monogenic, an anti-monogenic and a ψ-hyperholomorphic function.
Abstract: Holomorphic function theory is an effective tool for solving linear elasticity problems in the complex plane. The displacement and stress field are represented in terms of holomorphic functions, well known as Kolosov–Muskhelishvili formulae. In , similar formulae were already developed in recent papers, using quaternionic monogenic functions as a generalization of holomorphic functions. However, the existing representations use functions from to , embedded in . It is not completely appropriate for applications in . In particular, one has to remove many redundancies while constructing basis solutions. To overcome that problem, we propose an alternative Kolosov–Muskhelishvili formula for the displacement field by means of a (paravector-valued) monogenic, an anti-monogenic and a ψ-hyperholomorphic function. Copyright © 2015 John Wiley & Sons, Ltd.
22 citations
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TL;DR: In this paper, boundary element methods (BEM) for solving three-dimensional time harmonic Helmholtz acoustic scattering problems are presented in the framework of the isogeometric analysis (IGA).
22 citations
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TL;DR: In this article, generalized Fourier and Taylor series expansions in the space of square integrable quaternion-valued functions are presented, which possess peculiar properties regarding the hypercomplex derivative and primitive.
Abstract: The main objective of this contribution is a constructive generalization of the holomorphic power and Laurent series expansions in ℂ to dimension 3 using the framework of hypercomplex function theory. This first article on hand deals with generalized Fourier and Taylor series expansions in the space of square integrable quaternion-valued functions which possess peculiar properties regarding the hypercomplex derivative and primitive. In analogy to the complex one-dimensional case, both series expansions are orthogonal series with respect to the unit ball in ℝ3 and their series coefficients can be explicitly (one-to-one) linked with each other. Finally, very compact and efficient representation formulae (recurrence, closed-form) for the elements of the orthogonal bases are presented.
22 citations
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TL;DR: Step-by-step computer-aided capture and representation of geometric building data in the context of planning-oriented building surveying and approaches for the flexible combination of different measuring techniques and geometric abstractions which are based upon geodetic computational adjustment are discussed.
22 citations
Authors
Showing all 1443 results
Name | H-index | Papers | Citations |
---|---|---|---|
Timon Rabczuk | 99 | 727 | 35893 |
Adri C. T. van Duin | 79 | 489 | 26911 |
Paolo Rosso | 56 | 541 | 12757 |
Xiaoying Zhuang | 54 | 271 | 10082 |
Benno Stein | 53 | 340 | 9880 |
Jin-Wu Jiang | 52 | 175 | 7661 |
Gordon Wetzstein | 51 | 258 | 9793 |
Goangseup Zi | 45 | 153 | 8411 |
Bohayra Mortazavi | 44 | 162 | 5802 |
Thorsten Hennig-Thurau | 44 | 123 | 17542 |
Jörg Hoffmann | 40 | 200 | 7785 |
Martin Potthast | 40 | 190 | 6563 |
Pedro M. A. Areias | 38 | 107 | 5908 |
Amir Mosavi | 38 | 432 | 6209 |
Guido De Roeck | 38 | 274 | 8063 |